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Finding the Fourth Proportional to 445.30, 614.80 and 288.01

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Solution

The fourth proportional to 445.30, 614.80 and 288.01 is: 397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.30 : 614.80 = 288.01 : x
  2. Step 2: Convert to fraction form
    445.30/614.80 = 288.01/x
  3. Step 3: Cross multiply
    445.30x = 614.80 × 288.01
  4. Step 4: Simplify right side
    445.30x = 177,066.29
  5. Step 5: Solve for x
    x = 177,066.29/445.30
  6. Step 6: Final answer
    x = 397.64

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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.