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Finding the Fourth Proportional to 294.62, 439.76 and 260.02

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Solution

The fourth proportional to 294.62, 439.76 and 260.02 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.62 : 439.76 = 260.02 : x
  2. Step 2: Convert to fraction form
    294.62/439.76 = 260.02/x
  3. Step 3: Cross multiply
    294.62x = 439.76 × 260.02
  4. Step 4: Simplify right side
    294.62x = 114,347.59
  5. Step 5: Solve for x
    x = 114,347.59/294.62
  6. Step 6: Final answer
    x = 388.13

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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.