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Finding the Fourth Proportional to 333.92, 462.95 and 315.50

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Solution

The fourth proportional to 333.92, 462.95 and 315.50 is: 437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.92 : 462.95 = 315.50 : x
  2. Step 2: Convert to fraction form
    333.92/462.95 = 315.50/x
  3. Step 3: Cross multiply
    333.92x = 462.95 × 315.50
  4. Step 4: Simplify right side
    333.92x = 146,058.02
  5. Step 5: Solve for x
    x = 146,058.02/333.92
  6. Step 6: Final answer
    x = 437.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.