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Finding the Fourth Proportional to 405.42, 559.64 and 258.28

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Solution

The fourth proportional to 405.42, 559.64 and 258.28 is: 356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 559.64 = 258.28 : x
  2. Step 2: Convert to fraction form
    405.42/559.64 = 258.28/x
  3. Step 3: Cross multiply
    405.42x = 559.64 × 258.28
  4. Step 4: Simplify right side
    405.42x = 144,543.82
  5. Step 5: Solve for x
    x = 144,543.82/405.42
  6. Step 6: Final answer
    x = 356.53

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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.