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Finding the Fourth Proportional to 425.53, 586.78 and 278.11

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Solution

The fourth proportional to 425.53, 586.78 and 278.11 is: 383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.53 : 586.78 = 278.11 : x
  2. Step 2: Convert to fraction form
    425.53/586.78 = 278.11/x
  3. Step 3: Cross multiply
    425.53x = 586.78 × 278.11
  4. Step 4: Simplify right side
    425.53x = 163,189.39
  5. Step 5: Solve for x
    x = 163,189.39/425.53
  6. Step 6: Final answer
    x = 383.50

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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.