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Finding the Fourth Proportional to 339.26, 510.09 and 312.53

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Solution

The fourth proportional to 339.26, 510.09 and 312.53 is: 469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.26 : 510.09 = 312.53 : x
  2. Step 2: Convert to fraction form
    339.26/510.09 = 312.53/x
  3. Step 3: Cross multiply
    339.26x = 510.09 × 312.53
  4. Step 4: Simplify right side
    339.26x = 159,415.88
  5. Step 5: Solve for x
    x = 159,415.88/339.26
  6. Step 6: Final answer
    x = 469.90

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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.