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Finding the Fourth Proportional to 372.48, 557.76 and 340.80

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Solution

The fourth proportional to 372.48, 557.76 and 340.80 is: 510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.48 : 557.76 = 340.80 : x
  2. Step 2: Convert to fraction form
    372.48/557.76 = 340.80/x
  3. Step 3: Cross multiply
    372.48x = 557.76 × 340.80
  4. Step 4: Simplify right side
    372.48x = 190,084.61
  5. Step 5: Solve for x
    x = 190,084.61/372.48
  6. Step 6: Final answer
    x = 510.32

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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.