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Finding the Fourth Proportional to 399.47, 595.49 and 375.98

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Solution

The fourth proportional to 399.47, 595.49 and 375.98 is: 560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.47 : 595.49 = 375.98 : x
  2. Step 2: Convert to fraction form
    399.47/595.49 = 375.98/x
  3. Step 3: Cross multiply
    399.47x = 595.49 × 375.98
  4. Step 4: Simplify right side
    399.47x = 223,887.47
  5. Step 5: Solve for x
    x = 223,887.47/399.47
  6. Step 6: Final answer
    x = 560.47

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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.