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Finding the Fourth Proportional to 245.02, 366.50 and 171.89

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Solution

The fourth proportional to 245.02, 366.50 and 171.89 is: 257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.02 : 366.50 = 171.89 : x
  2. Step 2: Convert to fraction form
    245.02/366.50 = 171.89/x
  3. Step 3: Cross multiply
    245.02x = 366.50 × 171.89
  4. Step 4: Simplify right side
    245.02x = 62,998.34
  5. Step 5: Solve for x
    x = 62,998.34/245.02
  6. Step 6: Final answer
    x = 257.12

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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.