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Finding the Fourth Proportional to 405.10, 558.36 and 298.57

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Solution

The fourth proportional to 405.10, 558.36 and 298.57 is: 411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.10 : 558.36 = 298.57 : x
  2. Step 2: Convert to fraction form
    405.10/558.36 = 298.57/x
  3. Step 3: Cross multiply
    405.10x = 558.36 × 298.57
  4. Step 4: Simplify right side
    405.10x = 166,709.55
  5. Step 5: Solve for x
    x = 166,709.55/405.10
  6. Step 6: Final answer
    x = 411.53

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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.