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Finding the Fourth Proportional to 294.93, 439.13 and 294.02

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Solution

The fourth proportional to 294.93, 439.13 and 294.02 is: 437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.93 : 439.13 = 294.02 : x
  2. Step 2: Convert to fraction form
    294.93/439.13 = 294.02/x
  3. Step 3: Cross multiply
    294.93x = 439.13 × 294.02
  4. Step 4: Simplify right side
    294.93x = 129,112.63
  5. Step 5: Solve for x
    x = 129,112.63/294.93
  6. Step 6: Final answer
    x = 437.77

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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.