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Finding the Fourth Proportional to 402.06, 555.87 and 384.85

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Solution

The fourth proportional to 402.06, 555.87 and 384.85 is: 532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.06 : 555.87 = 384.85 : x
  2. Step 2: Convert to fraction form
    402.06/555.87 = 384.85/x
  3. Step 3: Cross multiply
    402.06x = 555.87 × 384.85
  4. Step 4: Simplify right side
    402.06x = 213,926.57
  5. Step 5: Solve for x
    x = 213,926.57/402.06
  6. Step 6: Final answer
    x = 532.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.