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Finding the Fourth Proportional to 405.48, 559.53 and 258.06

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Solution

The fourth proportional to 405.48, 559.53 and 258.06 is: 356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.48 : 559.53 = 258.06 : x
  2. Step 2: Convert to fraction form
    405.48/559.53 = 258.06/x
  3. Step 3: Cross multiply
    405.48x = 559.53 × 258.06
  4. Step 4: Simplify right side
    405.48x = 144,392.31
  5. Step 5: Solve for x
    x = 144,392.31/405.48
  6. Step 6: Final answer
    x = 356.10

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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.