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Finding the Fourth Proportional to 284.95, 425.18 and 282.19

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Solution

The fourth proportional to 284.95, 425.18 and 282.19 is: 421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.95 : 425.18 = 282.19 : x
  2. Step 2: Convert to fraction form
    284.95/425.18 = 282.19/x
  3. Step 3: Cross multiply
    284.95x = 425.18 × 282.19
  4. Step 4: Simplify right side
    284.95x = 119,981.54
  5. Step 5: Solve for x
    x = 119,981.54/284.95
  6. Step 6: Final answer
    x = 421.06

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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.