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Finding the Fourth Proportional to 337.95, 465.93 and 285.30

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Solution

The fourth proportional to 337.95, 465.93 and 285.30 is: 393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.95 : 465.93 = 285.30 : x
  2. Step 2: Convert to fraction form
    337.95/465.93 = 285.30/x
  3. Step 3: Cross multiply
    337.95x = 465.93 × 285.30
  4. Step 4: Simplify right side
    337.95x = 132,929.83
  5. Step 5: Solve for x
    x = 132,929.83/337.95
  6. Step 6: Final answer
    x = 393.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.