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Finding the Fourth Proportional to 656.01, 984.07 and 266.00

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Solution

The fourth proportional to 656.01, 984.07 and 266.00 is: 399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.01 : 984.07 = 266.00 : x
  2. Step 2: Convert to fraction form
    656.01/984.07 = 266.00/x
  3. Step 3: Cross multiply
    656.01x = 984.07 × 266.00
  4. Step 4: Simplify right side
    656.01x = 261,756.37
  5. Step 5: Solve for x
    x = 261,756.37/656.01
  6. Step 6: Final answer
    x = 399.01

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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.