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Finding the Fourth Proportional to 425.40, 586.80 and 278.04

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Solution

The fourth proportional to 425.40, 586.80 and 278.04 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.40 : 586.80 = 278.04 : x
  2. Step 2: Convert to fraction form
    425.40/586.80 = 278.04/x
  3. Step 3: Cross multiply
    425.40x = 586.80 × 278.04
  4. Step 4: Simplify right side
    425.40x = 163,153.87
  5. Step 5: Solve for x
    x = 163,153.87/425.40
  6. Step 6: Final answer
    x = 383.53

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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.