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Finding the Fourth Proportional to 340.25, 469.58 and 319.40

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Solution

The fourth proportional to 340.25, 469.58 and 319.40 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.25 : 469.58 = 319.40 : x
  2. Step 2: Convert to fraction form
    340.25/469.58 = 319.40/x
  3. Step 3: Cross multiply
    340.25x = 469.58 × 319.40
  4. Step 4: Simplify right side
    340.25x = 149,979.91
  5. Step 5: Solve for x
    x = 149,979.91/340.25
  6. Step 6: Final answer
    x = 440.80

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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.