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Finding the Fourth Proportional to 178.77, 266.70 and 172.62

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Solution

The fourth proportional to 178.77, 266.70 and 172.62 is: 257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 266.70 = 172.62 : x
  2. Step 2: Convert to fraction form
    178.77/266.70 = 172.62/x
  3. Step 3: Cross multiply
    178.77x = 266.70 × 172.62
  4. Step 4: Simplify right side
    178.77x = 46,038.40
  5. Step 5: Solve for x
    x = 46,038.40/178.77
  6. Step 6: Final answer
    x = 257.52

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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.