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Finding the Fourth Proportional to 304.91, 455.20 and 261.59

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Solution

The fourth proportional to 304.91, 455.20 and 261.59 is: 390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.91 : 455.20 = 261.59 : x
  2. Step 2: Convert to fraction form
    304.91/455.20 = 261.59/x
  3. Step 3: Cross multiply
    304.91x = 455.20 × 261.59
  4. Step 4: Simplify right side
    304.91x = 119,075.77
  5. Step 5: Solve for x
    x = 119,075.77/304.91
  6. Step 6: Final answer
    x = 390.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.