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Finding the Fourth Proportional to 200.84, 277.02 and 157.10

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Solution

The fourth proportional to 200.84, 277.02 and 157.10 is: 216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.84 : 277.02 = 157.10 : x
  2. Step 2: Convert to fraction form
    200.84/277.02 = 157.10/x
  3. Step 3: Cross multiply
    200.84x = 277.02 × 157.10
  4. Step 4: Simplify right side
    200.84x = 43,518.46
  5. Step 5: Solve for x
    x = 43,518.46/200.84
  6. Step 6: Final answer
    x = 216.69

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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.