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Finding the Fourth Proportional to 410.16, 611.32 and 388.08

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Solution

The fourth proportional to 410.16, 611.32 and 388.08 is: 578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.16 : 611.32 = 388.08 : x
  2. Step 2: Convert to fraction form
    410.16/611.32 = 388.08/x
  3. Step 3: Cross multiply
    410.16x = 611.32 × 388.08
  4. Step 4: Simplify right side
    410.16x = 237,241.07
  5. Step 5: Solve for x
    x = 237,241.07/410.16
  6. Step 6: Final answer
    x = 578.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.