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Finding the Fourth Proportional to 337.79, 509.10 and 318.95

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Solution

The fourth proportional to 337.79, 509.10 and 318.95 is: 480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.79 : 509.10 = 318.95 : x
  2. Step 2: Convert to fraction form
    337.79/509.10 = 318.95/x
  3. Step 3: Cross multiply
    337.79x = 509.10 × 318.95
  4. Step 4: Simplify right side
    337.79x = 162,378.72
  5. Step 5: Solve for x
    x = 162,378.72/337.79
  6. Step 6: Final answer
    x = 480.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.