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Finding the Fourth Proportional to 333.78, 457.91 and 315.15

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Solution

The fourth proportional to 333.78, 457.91 and 315.15 is: 432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.78 : 457.91 = 315.15 : x
  2. Step 2: Convert to fraction form
    333.78/457.91 = 315.15/x
  3. Step 3: Cross multiply
    333.78x = 457.91 × 315.15
  4. Step 4: Simplify right side
    333.78x = 144,308.76
  5. Step 5: Solve for x
    x = 144,308.76/333.78
  6. Step 6: Final answer
    x = 432.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.