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Finding the Fourth Proportional to 345.60, 477.12 and 241.28

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Solution

The fourth proportional to 345.60, 477.12 and 241.28 is: 333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 477.12 = 241.28 : x
  2. Step 2: Convert to fraction form
    345.60/477.12 = 241.28/x
  3. Step 3: Cross multiply
    345.60x = 477.12 × 241.28
  4. Step 4: Simplify right side
    345.60x = 115,119.51
  5. Step 5: Solve for x
    x = 115,119.51/345.60
  6. Step 6: Final answer
    x = 333.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.