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Finding the Fourth Proportional to 405.33, 558.96 and 265.40

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Solution

The fourth proportional to 405.33, 558.96 and 265.40 is: 365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.33 : 558.96 = 265.40 : x
  2. Step 2: Convert to fraction form
    405.33/558.96 = 265.40/x
  3. Step 3: Cross multiply
    405.33x = 558.96 × 265.40
  4. Step 4: Simplify right side
    405.33x = 148,347.98
  5. Step 5: Solve for x
    x = 148,347.98/405.33
  6. Step 6: Final answer
    x = 365.99

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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.