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Finding the Fourth Proportional to 265.91, 399.47 and 157.77

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Solution

The fourth proportional to 265.91, 399.47 and 157.77 is: 237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 399.47 = 157.77 : x
  2. Step 2: Convert to fraction form
    265.91/399.47 = 157.77/x
  3. Step 3: Cross multiply
    265.91x = 399.47 × 157.77
  4. Step 4: Simplify right side
    265.91x = 63,023.59
  5. Step 5: Solve for x
    x = 63,023.59/265.91
  6. Step 6: Final answer
    x = 237.02

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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.