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Finding the Fourth Proportional to 405.82, 560.03 and 228.77

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Solution

The fourth proportional to 405.82, 560.03 and 228.77 is: 315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.82 : 560.03 = 228.77 : x
  2. Step 2: Convert to fraction form
    405.82/560.03 = 228.77/x
  3. Step 3: Cross multiply
    405.82x = 560.03 × 228.77
  4. Step 4: Simplify right side
    405.82x = 128,118.06
  5. Step 5: Solve for x
    x = 128,118.06/405.82
  6. Step 6: Final answer
    x = 315.70

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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.