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Finding the Fourth Proportional to 520.01, 780.03 and 178.01

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Solution

The fourth proportional to 520.01, 780.03 and 178.01 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.01 : 780.03 = 178.01 : x
  2. Step 2: Convert to fraction form
    520.01/780.03 = 178.01/x
  3. Step 3: Cross multiply
    520.01x = 780.03 × 178.01
  4. Step 4: Simplify right side
    520.01x = 138,852.25
  5. Step 5: Solve for x
    x = 138,852.25/520.01
  6. Step 6: Final answer
    x = 267.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.