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Finding the Fourth Proportional to 341.78, 469.14 and 304.12

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Solution

The fourth proportional to 341.78, 469.14 and 304.12 is: 417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.78 : 469.14 = 304.12 : x
  2. Step 2: Convert to fraction form
    341.78/469.14 = 304.12/x
  3. Step 3: Cross multiply
    341.78x = 469.14 × 304.12
  4. Step 4: Simplify right side
    341.78x = 142,674.86
  5. Step 5: Solve for x
    x = 142,674.86/341.78
  6. Step 6: Final answer
    x = 417.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.