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Finding the Fourth Proportional to 328.40, 452.80 and 300.76

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Solution

The fourth proportional to 328.40, 452.80 and 300.76 is: 414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.40 : 452.80 = 300.76 : x
  2. Step 2: Convert to fraction form
    328.40/452.80 = 300.76/x
  3. Step 3: Cross multiply
    328.40x = 452.80 × 300.76
  4. Step 4: Simplify right side
    328.40x = 136,184.13
  5. Step 5: Solve for x
    x = 136,184.13/328.40
  6. Step 6: Final answer
    x = 414.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.