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Finding the Fourth Proportional to 424.36, 586.98 and 348.52

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Solution

The fourth proportional to 424.36, 586.98 and 348.52 is: 482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.36 : 586.98 = 348.52 : x
  2. Step 2: Convert to fraction form
    424.36/586.98 = 348.52/x
  3. Step 3: Cross multiply
    424.36x = 586.98 × 348.52
  4. Step 4: Simplify right side
    424.36x = 204,574.27
  5. Step 5: Solve for x
    x = 204,574.27/424.36
  6. Step 6: Final answer
    x = 482.08

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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.