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Finding the Fourth Proportional to 465.30, 697.82 and 302.76

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Solution

The fourth proportional to 465.30, 697.82 and 302.76 is: 454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.30 : 697.82 = 302.76 : x
  2. Step 2: Convert to fraction form
    465.30/697.82 = 302.76/x
  3. Step 3: Cross multiply
    465.30x = 697.82 × 302.76
  4. Step 4: Simplify right side
    465.30x = 211,270.47
  5. Step 5: Solve for x
    x = 211,270.47/465.30
  6. Step 6: Final answer
    x = 454.05

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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.