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Finding the Fourth Proportional to 390.41, 537.57 and 348.39

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Solution

The fourth proportional to 390.41, 537.57 and 348.39 is: 479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.41 : 537.57 = 348.39 : x
  2. Step 2: Convert to fraction form
    390.41/537.57 = 348.39/x
  3. Step 3: Cross multiply
    390.41x = 537.57 × 348.39
  4. Step 4: Simplify right side
    390.41x = 187,284.01
  5. Step 5: Solve for x
    x = 187,284.01/390.41
  6. Step 6: Final answer
    x = 479.72

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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.