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Finding the Fourth Proportional to 345.14, 469.88 and 339.38

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Solution

The fourth proportional to 345.14, 469.88 and 339.38 is: 462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.14 : 469.88 = 339.38 : x
  2. Step 2: Convert to fraction form
    345.14/469.88 = 339.38/x
  3. Step 3: Cross multiply
    345.14x = 469.88 × 339.38
  4. Step 4: Simplify right side
    345.14x = 159,467.87
  5. Step 5: Solve for x
    x = 159,467.87/345.14
  6. Step 6: Final answer
    x = 462.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.