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Finding the Fourth Proportional to 405.99, 560.21 and 258.75

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Solution

The fourth proportional to 405.99, 560.21 and 258.75 is: 357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.99 : 560.21 = 258.75 : x
  2. Step 2: Convert to fraction form
    405.99/560.21 = 258.75/x
  3. Step 3: Cross multiply
    405.99x = 560.21 × 258.75
  4. Step 4: Simplify right side
    405.99x = 144,953.04
  5. Step 5: Solve for x
    x = 144,953.04/405.99
  6. Step 6: Final answer
    x = 357.04

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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.