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Finding the Fourth Proportional to 421.52, 581.78 and 264.17

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Solution

The fourth proportional to 421.52, 581.78 and 264.17 is: 364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.52 : 581.78 = 264.17 : x
  2. Step 2: Convert to fraction form
    421.52/581.78 = 264.17/x
  3. Step 3: Cross multiply
    421.52x = 581.78 × 264.17
  4. Step 4: Simplify right side
    421.52x = 153,684.59
  5. Step 5: Solve for x
    x = 153,684.59/421.52
  6. Step 6: Final answer
    x = 364.60

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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.