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Finding the Fourth Proportional to 302.23, 452.80 and 210.75

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Solution

The fourth proportional to 302.23, 452.80 and 210.75 is: 315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 452.80 = 210.75 : x
  2. Step 2: Convert to fraction form
    302.23/452.80 = 210.75/x
  3. Step 3: Cross multiply
    302.23x = 452.80 × 210.75
  4. Step 4: Simplify right side
    302.23x = 95,427.60
  5. Step 5: Solve for x
    x = 95,427.60/302.23
  6. Step 6: Final answer
    x = 315.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.