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Finding the Fourth Proportional to 305.19, 459.63 and 237.15

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Solution

The fourth proportional to 305.19, 459.63 and 237.15 is: 357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.19 : 459.63 = 237.15 : x
  2. Step 2: Convert to fraction form
    305.19/459.63 = 237.15/x
  3. Step 3: Cross multiply
    305.19x = 459.63 × 237.15
  4. Step 4: Simplify right side
    305.19x = 109,001.25
  5. Step 5: Solve for x
    x = 109,001.25/305.19
  6. Step 6: Final answer
    x = 357.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.