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Finding the Fourth Proportional to 398.88, 595.51 and 341.12

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Solution

The fourth proportional to 398.88, 595.51 and 341.12 is: 509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.88 : 595.51 = 341.12 : x
  2. Step 2: Convert to fraction form
    398.88/595.51 = 341.12/x
  3. Step 3: Cross multiply
    398.88x = 595.51 × 341.12
  4. Step 4: Simplify right side
    398.88x = 203,140.37
  5. Step 5: Solve for x
    x = 203,140.37/398.88
  6. Step 6: Final answer
    x = 509.28

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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.