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Finding the Fourth Proportional to 341.58, 470.19 and 283.50

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Solution

The fourth proportional to 341.58, 470.19 and 283.50 is: 390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.58 : 470.19 = 283.50 : x
  2. Step 2: Convert to fraction form
    341.58/470.19 = 283.50/x
  3. Step 3: Cross multiply
    341.58x = 470.19 × 283.50
  4. Step 4: Simplify right side
    341.58x = 133,298.87
  5. Step 5: Solve for x
    x = 133,298.87/341.58
  6. Step 6: Final answer
    x = 390.24

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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.