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Finding the Fourth Proportional to 410.16, 615.16 and 178.93

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Solution

The fourth proportional to 410.16, 615.16 and 178.93 is: 268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 615.16 = 178.93 : x
  2. Step 2: Convert to fraction form
    410.16/615.16 = 178.93/x
  3. Step 3: Cross multiply
    410.16x = 615.16 × 178.93
  4. Step 4: Simplify right side
    410.16x = 110,068.11
  5. Step 5: Solve for x
    x = 110,068.11/410.16
  6. Step 6: Final answer
    x = 268.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.