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Finding the Fourth Proportional to 339.72, 469.16 and 270.51

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Solution

The fourth proportional to 339.72, 469.16 and 270.51 is: 373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.72 : 469.16 = 270.51 : x
  2. Step 2: Convert to fraction form
    339.72/469.16 = 270.51/x
  3. Step 3: Cross multiply
    339.72x = 469.16 × 270.51
  4. Step 4: Simplify right side
    339.72x = 126,911.12
  5. Step 5: Solve for x
    x = 126,911.12/339.72
  6. Step 6: Final answer
    x = 373.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.