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Finding the Fourth Proportional to 213.32, 317.79 and 203.00

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Solution

The fourth proportional to 213.32, 317.79 and 203.00 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.32 : 317.79 = 203.00 : x
  2. Step 2: Convert to fraction form
    213.32/317.79 = 203.00/x
  3. Step 3: Cross multiply
    213.32x = 317.79 × 203.00
  4. Step 4: Simplify right side
    213.32x = 64,509.78
  5. Step 5: Solve for x
    x = 64,509.78/213.32
  6. Step 6: Final answer
    x = 302.42

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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.