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Finding the Fourth Proportional to 339.54, 510.48 and 297.06

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Solution

The fourth proportional to 339.54, 510.48 and 297.06 is: 446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.54 : 510.48 = 297.06 : x
  2. Step 2: Convert to fraction form
    339.54/510.48 = 297.06/x
  3. Step 3: Cross multiply
    339.54x = 510.48 × 297.06
  4. Step 4: Simplify right side
    339.54x = 151,643.19
  5. Step 5: Solve for x
    x = 151,643.19/339.54
  6. Step 6: Final answer
    x = 446.61

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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.