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Finding the Fourth Proportional to 274.60, 412.80 and 258.40

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Solution

The fourth proportional to 274.60, 412.80 and 258.40 is: 388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.60 : 412.80 = 258.40 : x
  2. Step 2: Convert to fraction form
    274.60/412.80 = 258.40/x
  3. Step 3: Cross multiply
    274.60x = 412.80 × 258.40
  4. Step 4: Simplify right side
    274.60x = 106,667.52
  5. Step 5: Solve for x
    x = 106,667.52/274.60
  6. Step 6: Final answer
    x = 388.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.