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Finding the Fourth Proportional to 210.50, 314.03 and 203.02

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Solution

The fourth proportional to 210.50, 314.03 and 203.02 is: 302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.50 : 314.03 = 203.02 : x
  2. Step 2: Convert to fraction form
    210.50/314.03 = 203.02/x
  3. Step 3: Cross multiply
    210.50x = 314.03 × 203.02
  4. Step 4: Simplify right side
    210.50x = 63,753.36
  5. Step 5: Solve for x
    x = 63,753.36/210.50
  6. Step 6: Final answer
    x = 302.87

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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.