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Finding the Fourth Proportional to 303.78, 455.64 and 130.40

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Solution

The fourth proportional to 303.78, 455.64 and 130.40 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.78 : 455.64 = 130.40 : x
  2. Step 2: Convert to fraction form
    303.78/455.64 = 130.40/x
  3. Step 3: Cross multiply
    303.78x = 455.64 × 130.40
  4. Step 4: Simplify right side
    303.78x = 59,413.18
  5. Step 5: Solve for x
    x = 59,413.18/303.78
  6. Step 6: Final answer
    x = 195.58

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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.