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Finding the Fourth Proportional to 178.48, 266.70 and 146

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Solution

The fourth proportional to 178.48, 266.70 and 146 is: 218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 266.70 = 146 : x
  2. Step 2: Convert to fraction form
    178.48/266.70 = 146/x
  3. Step 3: Cross multiply
    178.48x = 266.70 × 146
  4. Step 4: Simplify right side
    178.48x = 38,938.20
  5. Step 5: Solve for x
    x = 38,938.20/178.48
  6. Step 6: Final answer
    x = 218.17

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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.