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Finding the Fourth Proportional to 305.78, 459.30 and 291.04

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Solution

The fourth proportional to 305.78, 459.30 and 291.04 is: 437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 459.30 = 291.04 : x
  2. Step 2: Convert to fraction form
    305.78/459.30 = 291.04/x
  3. Step 3: Cross multiply
    305.78x = 459.30 × 291.04
  4. Step 4: Simplify right side
    305.78x = 133,674.67
  5. Step 5: Solve for x
    x = 133,674.67/305.78
  6. Step 6: Final answer
    x = 437.16

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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.