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Finding the Fourth Proportional to 288.10, 432.13 and 158.08

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Solution

The fourth proportional to 288.10, 432.13 and 158.08 is: 237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 432.13 = 158.08 : x
  2. Step 2: Convert to fraction form
    288.10/432.13 = 158.08/x
  3. Step 3: Cross multiply
    288.10x = 432.13 × 158.08
  4. Step 4: Simplify right side
    288.10x = 68,311.11
  5. Step 5: Solve for x
    x = 68,311.11/288.10
  6. Step 6: Final answer
    x = 237.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.