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Finding the Fourth Proportional to 371.67, 557.53 and 97.77

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Solution

The fourth proportional to 371.67, 557.53 and 97.77 is: 146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.67 : 557.53 = 97.77 : x
  2. Step 2: Convert to fraction form
    371.67/557.53 = 97.77/x
  3. Step 3: Cross multiply
    371.67x = 557.53 × 97.77
  4. Step 4: Simplify right side
    371.67x = 54,509.71
  5. Step 5: Solve for x
    x = 54,509.71/371.67
  6. Step 6: Final answer
    x = 146.66

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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.