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Finding the Fourth Proportional to 301.52, 416.16 and 214.24

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Solution

The fourth proportional to 301.52, 416.16 and 214.24 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.52 : 416.16 = 214.24 : x
  2. Step 2: Convert to fraction form
    301.52/416.16 = 214.24/x
  3. Step 3: Cross multiply
    301.52x = 416.16 × 214.24
  4. Step 4: Simplify right side
    301.52x = 89,158.12
  5. Step 5: Solve for x
    x = 89,158.12/301.52
  6. Step 6: Final answer
    x = 295.70

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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.