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Finding the Fourth Proportional to 342.89, 510.77 and 324.26

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Solution

The fourth proportional to 342.89, 510.77 and 324.26 is: 483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.89 : 510.77 = 324.26 : x
  2. Step 2: Convert to fraction form
    342.89/510.77 = 324.26/x
  3. Step 3: Cross multiply
    342.89x = 510.77 × 324.26
  4. Step 4: Simplify right side
    342.89x = 165,618.11
  5. Step 5: Solve for x
    x = 165,618.11/342.89
  6. Step 6: Final answer
    x = 483.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.