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Finding the Fourth Proportional to 287.77, 397.12 and 156.77

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Solution

The fourth proportional to 287.77, 397.12 and 156.77 is: 216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.77 : 397.12 = 156.77 : x
  2. Step 2: Convert to fraction form
    287.77/397.12 = 156.77/x
  3. Step 3: Cross multiply
    287.77x = 397.12 × 156.77
  4. Step 4: Simplify right side
    287.77x = 62,256.50
  5. Step 5: Solve for x
    x = 62,256.50/287.77
  6. Step 6: Final answer
    x = 216.34

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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.