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Finding the Fourth Proportional to 370.40, 552.41 and 315.91

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Solution

The fourth proportional to 370.40, 552.41 and 315.91 is: 471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.40 : 552.41 = 315.91 : x
  2. Step 2: Convert to fraction form
    370.40/552.41 = 315.91/x
  3. Step 3: Cross multiply
    370.40x = 552.41 × 315.91
  4. Step 4: Simplify right side
    370.40x = 174,511.84
  5. Step 5: Solve for x
    x = 174,511.84/370.40
  6. Step 6: Final answer
    x = 471.14

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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.