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Finding the Fourth Proportional to 260.65, 391.29 and 152.50

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Solution

The fourth proportional to 260.65, 391.29 and 152.50 is: 228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.65 : 391.29 = 152.50 : x
  2. Step 2: Convert to fraction form
    260.65/391.29 = 152.50/x
  3. Step 3: Cross multiply
    260.65x = 391.29 × 152.50
  4. Step 4: Simplify right side
    260.65x = 59,671.73
  5. Step 5: Solve for x
    x = 59,671.73/260.65
  6. Step 6: Final answer
    x = 228.93

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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.