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Finding the Fourth Proportional to 407.32, 561.59 and 276.10

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Solution

The fourth proportional to 407.32, 561.59 and 276.10 is: 380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.32 : 561.59 = 276.10 : x
  2. Step 2: Convert to fraction form
    407.32/561.59 = 276.10/x
  3. Step 3: Cross multiply
    407.32x = 561.59 × 276.10
  4. Step 4: Simplify right side
    407.32x = 155,052.21
  5. Step 5: Solve for x
    x = 155,052.21/407.32
  6. Step 6: Final answer
    x = 380.67

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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.