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Finding the Fourth Proportional to 351.59, 526.17 and 260.16

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Solution

The fourth proportional to 351.59, 526.17 and 260.16 is: 389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.59 : 526.17 = 260.16 : x
  2. Step 2: Convert to fraction form
    351.59/526.17 = 260.16/x
  3. Step 3: Cross multiply
    351.59x = 526.17 × 260.16
  4. Step 4: Simplify right side
    351.59x = 136,889.62
  5. Step 5: Solve for x
    x = 136,889.62/351.59
  6. Step 6: Final answer
    x = 389.34

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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.