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Finding the Fourth Proportional to 425.55, 587.76 and 278.84

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Solution

The fourth proportional to 425.55, 587.76 and 278.84 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.55 : 587.76 = 278.84 : x
  2. Step 2: Convert to fraction form
    425.55/587.76 = 278.84/x
  3. Step 3: Cross multiply
    425.55x = 587.76 × 278.84
  4. Step 4: Simplify right side
    425.55x = 163,891.42
  5. Step 5: Solve for x
    x = 163,891.42/425.55
  6. Step 6: Final answer
    x = 385.13

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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.