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Finding the Fourth Proportional to 56.15, 83.74 and 48.07

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Solution

The fourth proportional to 56.15, 83.74 and 48.07 is: 71.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.15 : 83.74 = 48.07 : x
  2. Step 2: Convert to fraction form
    56.15/83.74 = 48.07/x
  3. Step 3: Cross multiply
    56.15x = 83.74 × 48.07
  4. Step 4: Simplify right side
    56.15x = 4,025.38
  5. Step 5: Solve for x
    x = 4,025.38/56.15
  6. Step 6: Final answer
    x = 71.69

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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.