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Finding the Fourth Proportional to 348.66, 519.93 and 296.42

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Solution

The fourth proportional to 348.66, 519.93 and 296.42 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.66 : 519.93 = 296.42 : x
  2. Step 2: Convert to fraction form
    348.66/519.93 = 296.42/x
  3. Step 3: Cross multiply
    348.66x = 519.93 × 296.42
  4. Step 4: Simplify right side
    348.66x = 154,117.65
  5. Step 5: Solve for x
    x = 154,117.65/348.66
  6. Step 6: Final answer
    x = 442.03

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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.