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Finding the Fourth Proportional to 335.07, 505.12 and 312.77

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Solution

The fourth proportional to 335.07, 505.12 and 312.77 is: 471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.07 : 505.12 = 312.77 : x
  2. Step 2: Convert to fraction form
    335.07/505.12 = 312.77/x
  3. Step 3: Cross multiply
    335.07x = 505.12 × 312.77
  4. Step 4: Simplify right side
    335.07x = 157,984.82
  5. Step 5: Solve for x
    x = 157,984.82/335.07
  6. Step 6: Final answer
    x = 471.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.