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Finding the Fourth Proportional to 157.47, 234.65 and 150.50

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Solution

The fourth proportional to 157.47, 234.65 and 150.50 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.47 : 234.65 = 150.50 : x
  2. Step 2: Convert to fraction form
    157.47/234.65 = 150.50/x
  3. Step 3: Cross multiply
    157.47x = 234.65 × 150.50
  4. Step 4: Simplify right side
    157.47x = 35,312.90
  5. Step 5: Solve for x
    x = 35,312.90/157.47
  6. Step 6: Final answer
    x = 224.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.