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Finding the Fourth Proportional to 372.48, 512.32 and 317.28

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Solution

The fourth proportional to 372.48, 512.32 and 317.28 is: 436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.48 : 512.32 = 317.28 : x
  2. Step 2: Convert to fraction form
    372.48/512.32 = 317.28/x
  3. Step 3: Cross multiply
    372.48x = 512.32 × 317.28
  4. Step 4: Simplify right side
    372.48x = 162,548.89
  5. Step 5: Solve for x
    x = 162,548.89/372.48
  6. Step 6: Final answer
    x = 436.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.