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Finding the Fourth Proportional to 287.05, 396.14 and 156.07

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Solution

The fourth proportional to 287.05, 396.14 and 156.07 is: 215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.05 : 396.14 = 156.07 : x
  2. Step 2: Convert to fraction form
    287.05/396.14 = 156.07/x
  3. Step 3: Cross multiply
    287.05x = 396.14 × 156.07
  4. Step 4: Simplify right side
    287.05x = 61,822.81
  5. Step 5: Solve for x
    x = 61,822.81/287.05
  6. Step 6: Final answer
    x = 215.38

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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.