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Finding the Fourth Proportional to 405.79, 560.19 and 288.34

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Solution

The fourth proportional to 405.79, 560.19 and 288.34 is: 398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.79 : 560.19 = 288.34 : x
  2. Step 2: Convert to fraction form
    405.79/560.19 = 288.34/x
  3. Step 3: Cross multiply
    405.79x = 560.19 × 288.34
  4. Step 4: Simplify right side
    405.79x = 161,525.18
  5. Step 5: Solve for x
    x = 161,525.18/405.79
  6. Step 6: Final answer
    x = 398.05

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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.