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Finding the Fourth Proportional to 316.04, 436.10 and 178.04

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Solution

The fourth proportional to 316.04, 436.10 and 178.04 is: 245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.04 : 436.10 = 178.04 : x
  2. Step 2: Convert to fraction form
    316.04/436.10 = 178.04/x
  3. Step 3: Cross multiply
    316.04x = 436.10 × 178.04
  4. Step 4: Simplify right side
    316.04x = 77,643.24
  5. Step 5: Solve for x
    x = 77,643.24/316.04
  6. Step 6: Final answer
    x = 245.68

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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.