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Finding the Fourth Proportional to 353.20, 527.24 and 310

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Solution

The fourth proportional to 353.20, 527.24 and 310 is: 462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.20 : 527.24 = 310 : x
  2. Step 2: Convert to fraction form
    353.20/527.24 = 310/x
  3. Step 3: Cross multiply
    353.20x = 527.24 × 310
  4. Step 4: Simplify right side
    353.20x = 163,444.40
  5. Step 5: Solve for x
    x = 163,444.40/353.20
  6. Step 6: Final answer
    x = 462.75

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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.