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Finding the Fourth Proportional to 388.07, 535.10 and 282.98

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Solution

The fourth proportional to 388.07, 535.10 and 282.98 is: 390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.07 : 535.10 = 282.98 : x
  2. Step 2: Convert to fraction form
    388.07/535.10 = 282.98/x
  3. Step 3: Cross multiply
    388.07x = 535.10 × 282.98
  4. Step 4: Simplify right side
    388.07x = 151,421.65
  5. Step 5: Solve for x
    x = 151,421.65/388.07
  6. Step 6: Final answer
    x = 390.19

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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.