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Finding the Fourth Proportional to 345.93, 516.45 and 285.18

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Solution

The fourth proportional to 345.93, 516.45 and 285.18 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.93 : 516.45 = 285.18 : x
  2. Step 2: Convert to fraction form
    345.93/516.45 = 285.18/x
  3. Step 3: Cross multiply
    345.93x = 516.45 × 285.18
  4. Step 4: Simplify right side
    345.93x = 147,281.21
  5. Step 5: Solve for x
    x = 147,281.21/345.93
  6. Step 6: Final answer
    x = 425.75

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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.