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Finding the Fourth Proportional to 373.16, 559.42 and 145.32

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Solution

The fourth proportional to 373.16, 559.42 and 145.32 is: 217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.16 : 559.42 = 145.32 : x
  2. Step 2: Convert to fraction form
    373.16/559.42 = 145.32/x
  3. Step 3: Cross multiply
    373.16x = 559.42 × 145.32
  4. Step 4: Simplify right side
    373.16x = 81,294.91
  5. Step 5: Solve for x
    x = 81,294.91/373.16
  6. Step 6: Final answer
    x = 217.86

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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.