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Finding the Fourth Proportional to 431.48, 594.42 and 348.36

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Solution

The fourth proportional to 431.48, 594.42 and 348.36 is: 479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.48 : 594.42 = 348.36 : x
  2. Step 2: Convert to fraction form
    431.48/594.42 = 348.36/x
  3. Step 3: Cross multiply
    431.48x = 594.42 × 348.36
  4. Step 4: Simplify right side
    431.48x = 207,072.15
  5. Step 5: Solve for x
    x = 207,072.15/431.48
  6. Step 6: Final answer
    x = 479.91

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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.