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Finding the Fourth Proportional to 373.68, 557.34 and 367.20

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Solution

The fourth proportional to 373.68, 557.34 and 367.20 is: 547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.68 : 557.34 = 367.20 : x
  2. Step 2: Convert to fraction form
    373.68/557.34 = 367.20/x
  3. Step 3: Cross multiply
    373.68x = 557.34 × 367.20
  4. Step 4: Simplify right side
    373.68x = 204,655.25
  5. Step 5: Solve for x
    x = 204,655.25/373.68
  6. Step 6: Final answer
    x = 547.68

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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.