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Finding the Fourth Proportional to 417.66, 576.52 and 319.24

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Solution

The fourth proportional to 417.66, 576.52 and 319.24 is: 440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 576.52 = 319.24 : x
  2. Step 2: Convert to fraction form
    417.66/576.52 = 319.24/x
  3. Step 3: Cross multiply
    417.66x = 576.52 × 319.24
  4. Step 4: Simplify right side
    417.66x = 184,048.17
  5. Step 5: Solve for x
    x = 184,048.17/417.66
  6. Step 6: Final answer
    x = 440.67

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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.