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Finding the Fourth Proportional to 22.83, 31.53 and 22.77

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Solution

The fourth proportional to 22.83, 31.53 and 22.77 is: 31.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 31.53 = 22.77 : x
  2. Step 2: Convert to fraction form
    22.83/31.53 = 22.77/x
  3. Step 3: Cross multiply
    22.83x = 31.53 × 22.77
  4. Step 4: Simplify right side
    22.83x = 717.94
  5. Step 5: Solve for x
    x = 717.94/22.83
  6. Step 6: Final answer
    x = 31.45

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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.