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Finding the Fourth Proportional to 405.72, 560.00 and 258.44

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Solution

The fourth proportional to 405.72, 560.00 and 258.44 is: 356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.72 : 560.00 = 258.44 : x
  2. Step 2: Convert to fraction form
    405.72/560.00 = 258.44/x
  3. Step 3: Cross multiply
    405.72x = 560.00 × 258.44
  4. Step 4: Simplify right side
    405.72x = 144,722.31
  5. Step 5: Solve for x
    x = 144,722.31/405.72
  6. Step 6: Final answer
    x = 356.70

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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.