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Finding the Fourth Proportional to 656.23, 984.51 and 245.38

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Solution

The fourth proportional to 656.23, 984.51 and 245.38 is: 368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.23 : 984.51 = 245.38 : x
  2. Step 2: Convert to fraction form
    656.23/984.51 = 245.38/x
  3. Step 3: Cross multiply
    656.23x = 984.51 × 245.38
  4. Step 4: Simplify right side
    656.23x = 241,579.06
  5. Step 5: Solve for x
    x = 241,579.06/656.23
  6. Step 6: Final answer
    x = 368.13

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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.