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Finding the Fourth Proportional to 340.40, 469.84 and 285.05

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Solution

The fourth proportional to 340.40, 469.84 and 285.05 is: 393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 469.84 = 285.05 : x
  2. Step 2: Convert to fraction form
    340.40/469.84 = 285.05/x
  3. Step 3: Cross multiply
    340.40x = 469.84 × 285.05
  4. Step 4: Simplify right side
    340.40x = 133,928.60
  5. Step 5: Solve for x
    x = 133,928.60/340.40
  6. Step 6: Final answer
    x = 393.44

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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.