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Finding the Fourth Proportional to 348.02, 479.80 and 288.79

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Solution

The fourth proportional to 348.02, 479.80 and 288.79 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.02 : 479.80 = 288.79 : x
  2. Step 2: Convert to fraction form
    348.02/479.80 = 288.79/x
  3. Step 3: Cross multiply
    348.02x = 479.80 × 288.79
  4. Step 4: Simplify right side
    348.02x = 138,561.44
  5. Step 5: Solve for x
    x = 138,561.44/348.02
  6. Step 6: Final answer
    x = 398.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.