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Finding the Fourth Proportional to 395.19, 592.32 and 178.32

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Solution

The fourth proportional to 395.19, 592.32 and 178.32 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.19 : 592.32 = 178.32 : x
  2. Step 2: Convert to fraction form
    395.19/592.32 = 178.32/x
  3. Step 3: Cross multiply
    395.19x = 592.32 × 178.32
  4. Step 4: Simplify right side
    395.19x = 105,622.50
  5. Step 5: Solve for x
    x = 105,622.50/395.19
  6. Step 6: Final answer
    x = 267.27

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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.