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Finding the Fourth Proportional to 328.80, 434.40 and 328.80

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Solution

The fourth proportional to 328.80, 434.40 and 328.80 is: 434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.80 : 434.40 = 328.80 : x
  2. Step 2: Convert to fraction form
    328.80/434.40 = 328.80/x
  3. Step 3: Cross multiply
    328.80x = 434.40 × 328.80
  4. Step 4: Simplify right side
    328.80x = 142,830.72
  5. Step 5: Solve for x
    x = 142,830.72/328.80
  6. Step 6: Final answer
    x = 434.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.