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Finding the Fourth Proportional to 294.64, 439.53 and 284.92

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Solution

The fourth proportional to 294.64, 439.53 and 284.92 is: 425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 439.53 = 284.92 : x
  2. Step 2: Convert to fraction form
    294.64/439.53 = 284.92/x
  3. Step 3: Cross multiply
    294.64x = 439.53 × 284.92
  4. Step 4: Simplify right side
    294.64x = 125,228.72
  5. Step 5: Solve for x
    x = 125,228.72/294.64
  6. Step 6: Final answer
    x = 425.03

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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.