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Finding the Fourth Proportional to 157.50, 234.81 and 148.32

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Solution

The fourth proportional to 157.50, 234.81 and 148.32 is: 221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 234.81 = 148.32 : x
  2. Step 2: Convert to fraction form
    157.50/234.81 = 148.32/x
  3. Step 3: Cross multiply
    157.50x = 234.81 × 148.32
  4. Step 4: Simplify right side
    157.50x = 34,827.02
  5. Step 5: Solve for x
    x = 34,827.02/157.50
  6. Step 6: Final answer
    x = 221.12

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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.