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Finding the Fourth Proportional to 388.23, 585.02 and 369.69

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Solution

The fourth proportional to 388.23, 585.02 and 369.69 is: 557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.23 : 585.02 = 369.69 : x
  2. Step 2: Convert to fraction form
    388.23/585.02 = 369.69/x
  3. Step 3: Cross multiply
    388.23x = 585.02 × 369.69
  4. Step 4: Simplify right side
    388.23x = 216,276.04
  5. Step 5: Solve for x
    x = 216,276.04/388.23
  6. Step 6: Final answer
    x = 557.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.