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Finding the Fourth Proportional to 358.80, 535.34 and 306.87

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Solution

The fourth proportional to 358.80, 535.34 and 306.87 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 535.34 = 306.87 : x
  2. Step 2: Convert to fraction form
    358.80/535.34 = 306.87/x
  3. Step 3: Cross multiply
    358.80x = 535.34 × 306.87
  4. Step 4: Simplify right side
    358.80x = 164,279.79
  5. Step 5: Solve for x
    x = 164,279.79/358.80
  6. Step 6: Final answer
    x = 457.86

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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.