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Finding the Fourth Proportional to 334, 497.52 and 318.48

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Solution

The fourth proportional to 334, 497.52 and 318.48 is: 474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 497.52 = 318.48 : x
  2. Step 2: Convert to fraction form
    334/497.52 = 318.48/x
  3. Step 3: Cross multiply
    334x = 497.52 × 318.48
  4. Step 4: Simplify right side
    334x = 158,450.17
  5. Step 5: Solve for x
    x = 158,450.17/334
  6. Step 6: Final answer
    x = 474.40

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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.