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Finding the Fourth Proportional to 294.65, 439.88 and 262.25

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Solution

The fourth proportional to 294.65, 439.88 and 262.25 is: 391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.65 : 439.88 = 262.25 : x
  2. Step 2: Convert to fraction form
    294.65/439.88 = 262.25/x
  3. Step 3: Cross multiply
    294.65x = 439.88 × 262.25
  4. Step 4: Simplify right side
    294.65x = 115,358.53
  5. Step 5: Solve for x
    x = 115,358.53/294.65
  6. Step 6: Final answer
    x = 391.51

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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.