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Finding the Fourth Proportional to 358.12, 533.08 and 317.12

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Solution

The fourth proportional to 358.12, 533.08 and 317.12 is: 472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.12 : 533.08 = 317.12 : x
  2. Step 2: Convert to fraction form
    358.12/533.08 = 317.12/x
  3. Step 3: Cross multiply
    358.12x = 533.08 × 317.12
  4. Step 4: Simplify right side
    358.12x = 169,048.06
  5. Step 5: Solve for x
    x = 169,048.06/358.12
  6. Step 6: Final answer
    x = 472.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.