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Finding the Fourth Proportional to 340.52, 469.78 and 224.14

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Solution

The fourth proportional to 340.52, 469.78 and 224.14 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.52 : 469.78 = 224.14 : x
  2. Step 2: Convert to fraction form
    340.52/469.78 = 224.14/x
  3. Step 3: Cross multiply
    340.52x = 469.78 × 224.14
  4. Step 4: Simplify right side
    340.52x = 105,296.49
  5. Step 5: Solve for x
    x = 105,296.49/340.52
  6. Step 6: Final answer
    x = 309.22

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