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Finding the Fourth Proportional to 341.19, 470.73 and 210.24

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Solution

The fourth proportional to 341.19, 470.73 and 210.24 is: 290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.19 : 470.73 = 210.24 : x
  2. Step 2: Convert to fraction form
    341.19/470.73 = 210.24/x
  3. Step 3: Cross multiply
    341.19x = 470.73 × 210.24
  4. Step 4: Simplify right side
    341.19x = 98,966.28
  5. Step 5: Solve for x
    x = 98,966.28/341.19
  6. Step 6: Final answer
    x = 290.06

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