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Finding the Fourth Proportional to 465.61, 698.40 and 157.46

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Solution

The fourth proportional to 465.61, 698.40 and 157.46 is: 236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.61 : 698.40 = 157.46 : x
  2. Step 2: Convert to fraction form
    465.61/698.40 = 157.46/x
  3. Step 3: Cross multiply
    465.61x = 698.40 × 157.46
  4. Step 4: Simplify right side
    465.61x = 109,970.06
  5. Step 5: Solve for x
    x = 109,970.06/465.61
  6. Step 6: Final answer
    x = 236.18

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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.