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Finding the Fourth Proportional to 356.16, 490.34 and 346.04

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Solution

The fourth proportional to 356.16, 490.34 and 346.04 is: 476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.16 : 490.34 = 346.04 : x
  2. Step 2: Convert to fraction form
    356.16/490.34 = 346.04/x
  3. Step 3: Cross multiply
    356.16x = 490.34 × 346.04
  4. Step 4: Simplify right side
    356.16x = 169,673.07
  5. Step 5: Solve for x
    x = 169,673.07/356.16
  6. Step 6: Final answer
    x = 476.40

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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.