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Finding the Fourth Proportional to 405.15, 607.77 and 174.12

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Solution

The fourth proportional to 405.15, 607.77 and 174.12 is: 261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.15 : 607.77 = 174.12 : x
  2. Step 2: Convert to fraction form
    405.15/607.77 = 174.12/x
  3. Step 3: Cross multiply
    405.15x = 607.77 × 174.12
  4. Step 4: Simplify right side
    405.15x = 105,824.91
  5. Step 5: Solve for x
    x = 105,824.91/405.15
  6. Step 6: Final answer
    x = 261.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.