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Finding the Fourth Proportional to 970.01, 1,454.99 and 239.60

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Solution

The fourth proportional to 970.01, 1,454.99 and 239.60 is: 359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.01 : 1,454.99 = 239.60 : x
  2. Step 2: Convert to fraction form
    970.01/1,454.99 = 239.60/x
  3. Step 3: Cross multiply
    970.01x = 1,454.99 × 239.60
  4. Step 4: Simplify right side
    970.01x = 348,615.60
  5. Step 5: Solve for x
    x = 348,615.60/970.01
  6. Step 6: Final answer
    x = 359.39

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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.