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Finding the Fourth Proportional to 405.06, 558.81 and 265.13

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Solution

The fourth proportional to 405.06, 558.81 and 265.13 is: 365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.06 : 558.81 = 265.13 : x
  2. Step 2: Convert to fraction form
    405.06/558.81 = 265.13/x
  3. Step 3: Cross multiply
    405.06x = 558.81 × 265.13
  4. Step 4: Simplify right side
    405.06x = 148,157.30
  5. Step 5: Solve for x
    x = 148,157.30/405.06
  6. Step 6: Final answer
    x = 365.77

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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.