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Finding the Fourth Proportional to 284.49, 424.58 and 277.20

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Solution

The fourth proportional to 284.49, 424.58 and 277.20 is: 413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.49 : 424.58 = 277.20 : x
  2. Step 2: Convert to fraction form
    284.49/424.58 = 277.20/x
  3. Step 3: Cross multiply
    284.49x = 424.58 × 277.20
  4. Step 4: Simplify right side
    284.49x = 117,693.58
  5. Step 5: Solve for x
    x = 117,693.58/284.49
  6. Step 6: Final answer
    x = 413.70

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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.