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Finding the Fourth Proportional to 405.16, 558.62 and 346.04

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Solution

The fourth proportional to 405.16, 558.62 and 346.04 is: 477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.16 : 558.62 = 346.04 : x
  2. Step 2: Convert to fraction form
    405.16/558.62 = 346.04/x
  3. Step 3: Cross multiply
    405.16x = 558.62 × 346.04
  4. Step 4: Simplify right side
    405.16x = 193,304.86
  5. Step 5: Solve for x
    x = 193,304.86/405.16
  6. Step 6: Final answer
    x = 477.11

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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.