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Finding the Fourth Proportional to 340.57, 469.29 and 253.09

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Solution

The fourth proportional to 340.57, 469.29 and 253.09 is: 348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.57 : 469.29 = 253.09 : x
  2. Step 2: Convert to fraction form
    340.57/469.29 = 253.09/x
  3. Step 3: Cross multiply
    340.57x = 469.29 × 253.09
  4. Step 4: Simplify right side
    340.57x = 118,772.61
  5. Step 5: Solve for x
    x = 118,772.61/340.57
  6. Step 6: Final answer
    x = 348.75

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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.