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Finding the Fourth Proportional to 261.60, 390.24 and 241.32

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Solution

The fourth proportional to 261.60, 390.24 and 241.32 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 390.24 = 241.32 : x
  2. Step 2: Convert to fraction form
    261.60/390.24 = 241.32/x
  3. Step 3: Cross multiply
    261.60x = 390.24 × 241.32
  4. Step 4: Simplify right side
    261.60x = 94,172.72
  5. Step 5: Solve for x
    x = 94,172.72/261.60
  6. Step 6: Final answer
    x = 359.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.