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Finding the Fourth Proportional to 256.07, 383.95 and 101.82

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Solution

The fourth proportional to 256.07, 383.95 and 101.82 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.07 : 383.95 = 101.82 : x
  2. Step 2: Convert to fraction form
    256.07/383.95 = 101.82/x
  3. Step 3: Cross multiply
    256.07x = 383.95 × 101.82
  4. Step 4: Simplify right side
    256.07x = 39,093.79
  5. Step 5: Solve for x
    x = 39,093.79/256.07
  6. Step 6: Final answer
    x = 152.67

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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.