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Finding the Fourth Proportional to 285.84, 425.58 and 284.40

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Solution

The fourth proportional to 285.84, 425.58 and 284.40 is: 423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 425.58 = 284.40 : x
  2. Step 2: Convert to fraction form
    285.84/425.58 = 284.40/x
  3. Step 3: Cross multiply
    285.84x = 425.58 × 284.40
  4. Step 4: Simplify right side
    285.84x = 121,034.95
  5. Step 5: Solve for x
    x = 121,034.95/285.84
  6. Step 6: Final answer
    x = 423.44

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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.