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Finding the Fourth Proportional to 375.72, 560.77 and 320.52

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Solution

The fourth proportional to 375.72, 560.77 and 320.52 is: 478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 560.77 = 320.52 : x
  2. Step 2: Convert to fraction form
    375.72/560.77 = 320.52/x
  3. Step 3: Cross multiply
    375.72x = 560.77 × 320.52
  4. Step 4: Simplify right side
    375.72x = 179,738.00
  5. Step 5: Solve for x
    x = 179,738.00/375.72
  6. Step 6: Final answer
    x = 478.38

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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.