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Finding the Fourth Proportional to 259.19, 390.71 and 236.61

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Solution

The fourth proportional to 259.19, 390.71 and 236.61 is: 356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.19 : 390.71 = 236.61 : x
  2. Step 2: Convert to fraction form
    259.19/390.71 = 236.61/x
  3. Step 3: Cross multiply
    259.19x = 390.71 × 236.61
  4. Step 4: Simplify right side
    259.19x = 92,445.89
  5. Step 5: Solve for x
    x = 92,445.89/259.19
  6. Step 6: Final answer
    x = 356.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.