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Finding the Fourth Proportional to 412.48, 615.14 and 352

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Solution

The fourth proportional to 412.48, 615.14 and 352 is: 524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 615.14 = 352 : x
  2. Step 2: Convert to fraction form
    412.48/615.14 = 352/x
  3. Step 3: Cross multiply
    412.48x = 615.14 × 352
  4. Step 4: Simplify right side
    412.48x = 216,529.28
  5. Step 5: Solve for x
    x = 216,529.28/412.48
  6. Step 6: Final answer
    x = 524.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.