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Finding the Fourth Proportional to 360.47, 537.51 and 317.31

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Solution

The fourth proportional to 360.47, 537.51 and 317.31 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.47 : 537.51 = 317.31 : x
  2. Step 2: Convert to fraction form
    360.47/537.51 = 317.31/x
  3. Step 3: Cross multiply
    360.47x = 537.51 × 317.31
  4. Step 4: Simplify right side
    360.47x = 170,557.30
  5. Step 5: Solve for x
    x = 170,557.30/360.47
  6. Step 6: Final answer
    x = 473.16

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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.