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Finding the Fourth Proportional to 972.06, 1,458.08 and 241.64

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Solution

The fourth proportional to 972.06, 1,458.08 and 241.64 is: 362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.06 : 1,458.08 = 241.64 : x
  2. Step 2: Convert to fraction form
    972.06/1,458.08 = 241.64/x
  3. Step 3: Cross multiply
    972.06x = 1,458.08 × 241.64
  4. Step 4: Simplify right side
    972.06x = 352,331.75
  5. Step 5: Solve for x
    x = 352,331.75/972.06
  6. Step 6: Final answer
    x = 362.46

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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.