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Finding the Fourth Proportional to 388.51, 536.15 and 213.87

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Solution

The fourth proportional to 388.51, 536.15 and 213.87 is: 295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.51 : 536.15 = 213.87 : x
  2. Step 2: Convert to fraction form
    388.51/536.15 = 213.87/x
  3. Step 3: Cross multiply
    388.51x = 536.15 × 213.87
  4. Step 4: Simplify right side
    388.51x = 114,666.40
  5. Step 5: Solve for x
    x = 114,666.40/388.51
  6. Step 6: Final answer
    x = 295.14

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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.