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Finding the Fourth Proportional to 348.18, 524.87 and 325.26

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Solution

The fourth proportional to 348.18, 524.87 and 325.26 is: 490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.18 : 524.87 = 325.26 : x
  2. Step 2: Convert to fraction form
    348.18/524.87 = 325.26/x
  3. Step 3: Cross multiply
    348.18x = 524.87 × 325.26
  4. Step 4: Simplify right side
    348.18x = 170,719.22
  5. Step 5: Solve for x
    x = 170,719.22/348.18
  6. Step 6: Final answer
    x = 490.32

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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.