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Finding the Fourth Proportional to 973.22, 1,459.81 and 242.80

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Solution

The fourth proportional to 973.22, 1,459.81 and 242.80 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.22 : 1,459.81 = 242.80 : x
  2. Step 2: Convert to fraction form
    973.22/1,459.81 = 242.80/x
  3. Step 3: Cross multiply
    973.22x = 1,459.81 × 242.80
  4. Step 4: Simplify right side
    973.22x = 354,441.87
  5. Step 5: Solve for x
    x = 354,441.87/973.22
  6. Step 6: Final answer
    x = 364.20

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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.