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Finding the Fourth Proportional to 210.76, 291.06 and 198.64

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Solution

The fourth proportional to 210.76, 291.06 and 198.64 is: 274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.76 : 291.06 = 198.64 : x
  2. Step 2: Convert to fraction form
    210.76/291.06 = 198.64/x
  3. Step 3: Cross multiply
    210.76x = 291.06 × 198.64
  4. Step 4: Simplify right side
    210.76x = 57,816.16
  5. Step 5: Solve for x
    x = 57,816.16/210.76
  6. Step 6: Final answer
    x = 274.32

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Find fourth proportional to 105.38, 145.53 and 99.32
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.