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Finding the Fourth Proportional to 332.74, 459.40 and 214.78

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Solution

The fourth proportional to 332.74, 459.40 and 214.78 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.74 : 459.40 = 214.78 : x
  2. Step 2: Convert to fraction form
    332.74/459.40 = 214.78/x
  3. Step 3: Cross multiply
    332.74x = 459.40 × 214.78
  4. Step 4: Simplify right side
    332.74x = 98,669.93
  5. Step 5: Solve for x
    x = 98,669.93/332.74
  6. Step 6: Final answer
    x = 296.54

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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.