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Finding the Fourth Proportional to 211.16, 291.24 and 152.36

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Solution

The fourth proportional to 211.16, 291.24 and 152.36 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.16 : 291.24 = 152.36 : x
  2. Step 2: Convert to fraction form
    211.16/291.24 = 152.36/x
  3. Step 3: Cross multiply
    211.16x = 291.24 × 152.36
  4. Step 4: Simplify right side
    211.16x = 44,373.48
  5. Step 5: Solve for x
    x = 44,373.48/211.16
  6. Step 6: Final answer
    x = 210.14

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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.