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Finding the Fourth Proportional to 294.90, 439.83 and 284.58

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Solution

The fourth proportional to 294.90, 439.83 and 284.58 is: 424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.90 : 439.83 = 284.58 : x
  2. Step 2: Convert to fraction form
    294.90/439.83 = 284.58/x
  3. Step 3: Cross multiply
    294.90x = 439.83 × 284.58
  4. Step 4: Simplify right side
    294.90x = 125,166.82
  5. Step 5: Solve for x
    x = 125,166.82/294.90
  6. Step 6: Final answer
    x = 424.44

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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.