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Finding the Fourth Proportional to 405.13, 607.42 and 188.59

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Solution

The fourth proportional to 405.13, 607.42 and 188.59 is: 282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.13 : 607.42 = 188.59 : x
  2. Step 2: Convert to fraction form
    405.13/607.42 = 188.59/x
  3. Step 3: Cross multiply
    405.13x = 607.42 × 188.59
  4. Step 4: Simplify right side
    405.13x = 114,549.83
  5. Step 5: Solve for x
    x = 114,549.83/405.13
  6. Step 6: Final answer
    x = 282.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.