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Finding the Fourth Proportional to 56.99, 78.64 and 31.11

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Solution

The fourth proportional to 56.99, 78.64 and 31.11 is: 42.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.99 : 78.64 = 31.11 : x
  2. Step 2: Convert to fraction form
    56.99/78.64 = 31.11/x
  3. Step 3: Cross multiply
    56.99x = 78.64 × 31.11
  4. Step 4: Simplify right side
    56.99x = 2,446.49
  5. Step 5: Solve for x
    x = 2,446.49/56.99
  6. Step 6: Final answer
    x = 42.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.