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Finding the Fourth Proportional to 356.40, 531.72 and 310.84

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Solution

The fourth proportional to 356.40, 531.72 and 310.84 is: 463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 531.72 = 310.84 : x
  2. Step 2: Convert to fraction form
    356.40/531.72 = 310.84/x
  3. Step 3: Cross multiply
    356.40x = 531.72 × 310.84
  4. Step 4: Simplify right side
    356.40x = 165,278.52
  5. Step 5: Solve for x
    x = 165,278.52/356.40
  6. Step 6: Final answer
    x = 463.74

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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.