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Finding the Fourth Proportional to 345.11, 519.98 and 285.57

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Solution

The fourth proportional to 345.11, 519.98 and 285.57 is: 430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.11 : 519.98 = 285.57 : x
  2. Step 2: Convert to fraction form
    345.11/519.98 = 285.57/x
  3. Step 3: Cross multiply
    345.11x = 519.98 × 285.57
  4. Step 4: Simplify right side
    345.11x = 148,489.26
  5. Step 5: Solve for x
    x = 148,489.26/345.11
  6. Step 6: Final answer
    x = 430.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.