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Finding the Fourth Proportional to 210.96, 291.16 and 123.64

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Solution

The fourth proportional to 210.96, 291.16 and 123.64 is: 170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.96 : 291.16 = 123.64 : x
  2. Step 2: Convert to fraction form
    210.96/291.16 = 123.64/x
  3. Step 3: Cross multiply
    210.96x = 291.16 × 123.64
  4. Step 4: Simplify right side
    210.96x = 35,999.02
  5. Step 5: Solve for x
    x = 35,999.02/210.96
  6. Step 6: Final answer
    x = 170.64

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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.