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Finding the Fourth Proportional to 656.96, 985.42 and 246.08

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Solution

The fourth proportional to 656.96, 985.42 and 246.08 is: 369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.96 : 985.42 = 246.08 : x
  2. Step 2: Convert to fraction form
    656.96/985.42 = 246.08/x
  3. Step 3: Cross multiply
    656.96x = 985.42 × 246.08
  4. Step 4: Simplify right side
    656.96x = 242,492.15
  5. Step 5: Solve for x
    x = 242,492.15/656.96
  6. Step 6: Final answer
    x = 369.11

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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.