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Finding the Fourth Proportional to 561.40, 842.28 and 272.64

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Solution

The fourth proportional to 561.40, 842.28 and 272.64 is: 409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.40 : 842.28 = 272.64 : x
  2. Step 2: Convert to fraction form
    561.40/842.28 = 272.64/x
  3. Step 3: Cross multiply
    561.40x = 842.28 × 272.64
  4. Step 4: Simplify right side
    561.40x = 229,639.22
  5. Step 5: Solve for x
    x = 229,639.22/561.40
  6. Step 6: Final answer
    x = 409.05

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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.