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Finding the Fourth Proportional to 377.15, 520.30 and 258.93

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Solution

The fourth proportional to 377.15, 520.30 and 258.93 is: 357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.15 : 520.30 = 258.93 : x
  2. Step 2: Convert to fraction form
    377.15/520.30 = 258.93/x
  3. Step 3: Cross multiply
    377.15x = 520.30 × 258.93
  4. Step 4: Simplify right side
    377.15x = 134,720.63
  5. Step 5: Solve for x
    x = 134,720.63/377.15
  6. Step 6: Final answer
    x = 357.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.