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Finding the Fourth Proportional to 305.78, 456.45 and 284.39

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Solution

The fourth proportional to 305.78, 456.45 and 284.39 is: 424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 456.45 = 284.39 : x
  2. Step 2: Convert to fraction form
    305.78/456.45 = 284.39/x
  3. Step 3: Cross multiply
    305.78x = 456.45 × 284.39
  4. Step 4: Simplify right side
    305.78x = 129,807.53
  5. Step 5: Solve for x
    x = 129,807.53/305.78
  6. Step 6: Final answer
    x = 424.52

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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.