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Finding the Fourth Proportional to 305.94, 420.93 and 297.32

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Solution

The fourth proportional to 305.94, 420.93 and 297.32 is: 409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.94 : 420.93 = 297.32 : x
  2. Step 2: Convert to fraction form
    305.94/420.93 = 297.32/x
  3. Step 3: Cross multiply
    305.94x = 420.93 × 297.32
  4. Step 4: Simplify right side
    305.94x = 125,151.17
  5. Step 5: Solve for x
    x = 125,151.17/305.94
  6. Step 6: Final answer
    x = 409.07

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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.