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Finding the Fourth Proportional to 406.02, 560.04 and 258.42

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Solution

The fourth proportional to 406.02, 560.04 and 258.42 is: 356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 560.04 = 258.42 : x
  2. Step 2: Convert to fraction form
    406.02/560.04 = 258.42/x
  3. Step 3: Cross multiply
    406.02x = 560.04 × 258.42
  4. Step 4: Simplify right side
    406.02x = 144,725.54
  5. Step 5: Solve for x
    x = 144,725.54/406.02
  6. Step 6: Final answer
    x = 356.45

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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.