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Finding the Fourth Proportional to 255.65, 383.22 and 101.52

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Solution

The fourth proportional to 255.65, 383.22 and 101.52 is: 152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.65 : 383.22 = 101.52 : x
  2. Step 2: Convert to fraction form
    255.65/383.22 = 101.52/x
  3. Step 3: Cross multiply
    255.65x = 383.22 × 101.52
  4. Step 4: Simplify right side
    255.65x = 38,904.49
  5. Step 5: Solve for x
    x = 38,904.49/255.65
  6. Step 6: Final answer
    x = 152.18

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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.