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Finding the Fourth Proportional to 178.65, 266.85 and 153.05

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Solution

The fourth proportional to 178.65, 266.85 and 153.05 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.65 : 266.85 = 153.05 : x
  2. Step 2: Convert to fraction form
    178.65/266.85 = 153.05/x
  3. Step 3: Cross multiply
    178.65x = 266.85 × 153.05
  4. Step 4: Simplify right side
    178.65x = 40,840.06
  5. Step 5: Solve for x
    x = 40,840.06/178.65
  6. Step 6: Final answer
    x = 228.60

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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.