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Finding the Fourth Proportional to 263.42, 363.65 and 178.40

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Solution

The fourth proportional to 263.42, 363.65 and 178.40 is: 246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.42 : 363.65 = 178.40 : x
  2. Step 2: Convert to fraction form
    263.42/363.65 = 178.40/x
  3. Step 3: Cross multiply
    263.42x = 363.65 × 178.40
  4. Step 4: Simplify right side
    263.42x = 64,875.16
  5. Step 5: Solve for x
    x = 64,875.16/263.42
  6. Step 6: Final answer
    x = 246.28

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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.