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Finding the Fourth Proportional to 305.01, 455.58 and 261.45

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Solution

The fourth proportional to 305.01, 455.58 and 261.45 is: 390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.01 : 455.58 = 261.45 : x
  2. Step 2: Convert to fraction form
    305.01/455.58 = 261.45/x
  3. Step 3: Cross multiply
    305.01x = 455.58 × 261.45
  4. Step 4: Simplify right side
    305.01x = 119,111.39
  5. Step 5: Solve for x
    x = 119,111.39/305.01
  6. Step 6: Final answer
    x = 390.52

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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.