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Finding the Fourth Proportional to 384.48, 572.13 and 371.25

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Solution

The fourth proportional to 384.48, 572.13 and 371.25 is: 552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.48 : 572.13 = 371.25 : x
  2. Step 2: Convert to fraction form
    384.48/572.13 = 371.25/x
  3. Step 3: Cross multiply
    384.48x = 572.13 × 371.25
  4. Step 4: Simplify right side
    384.48x = 212,403.26
  5. Step 5: Solve for x
    x = 212,403.26/384.48
  6. Step 6: Final answer
    x = 552.44

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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.