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Finding the Fourth Proportional to 245.90, 369.12 and 101.72

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Solution

The fourth proportional to 245.90, 369.12 and 101.72 is: 152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.90 : 369.12 = 101.72 : x
  2. Step 2: Convert to fraction form
    245.90/369.12 = 101.72/x
  3. Step 3: Cross multiply
    245.90x = 369.12 × 101.72
  4. Step 4: Simplify right side
    245.90x = 37,546.89
  5. Step 5: Solve for x
    x = 37,546.89/245.90
  6. Step 6: Final answer
    x = 152.69

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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.