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Finding the Fourth Proportional to 405.08, 558.50 and 274.28

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Solution

The fourth proportional to 405.08, 558.50 and 274.28 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.08 : 558.50 = 274.28 : x
  2. Step 2: Convert to fraction form
    405.08/558.50 = 274.28/x
  3. Step 3: Cross multiply
    405.08x = 558.50 × 274.28
  4. Step 4: Simplify right side
    405.08x = 153,185.38
  5. Step 5: Solve for x
    x = 153,185.38/405.08
  6. Step 6: Final answer
    x = 378.16

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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.