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Finding the Fourth Proportional to 284.31, 424.30 and 277.02

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Solution

The fourth proportional to 284.31, 424.30 and 277.02 is: 413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.31 : 424.30 = 277.02 : x
  2. Step 2: Convert to fraction form
    284.31/424.30 = 277.02/x
  3. Step 3: Cross multiply
    284.31x = 424.30 × 277.02
  4. Step 4: Simplify right side
    284.31x = 117,539.59
  5. Step 5: Solve for x
    x = 117,539.59/284.31
  6. Step 6: Final answer
    x = 413.42

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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.