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Finding the Fourth Proportional to 342.57, 469.91 and 339.64

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Solution

The fourth proportional to 342.57, 469.91 and 339.64 is: 465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.57 : 469.91 = 339.64 : x
  2. Step 2: Convert to fraction form
    342.57/469.91 = 339.64/x
  3. Step 3: Cross multiply
    342.57x = 469.91 × 339.64
  4. Step 4: Simplify right side
    342.57x = 159,600.23
  5. Step 5: Solve for x
    x = 159,600.23/342.57
  6. Step 6: Final answer
    x = 465.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.