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Finding the Fourth Proportional to 346.84, 477.66 and 319.48

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Solution

The fourth proportional to 346.84, 477.66 and 319.48 is: 439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.84 : 477.66 = 319.48 : x
  2. Step 2: Convert to fraction form
    346.84/477.66 = 319.48/x
  3. Step 3: Cross multiply
    346.84x = 477.66 × 319.48
  4. Step 4: Simplify right side
    346.84x = 152,602.82
  5. Step 5: Solve for x
    x = 152,602.82/346.84
  6. Step 6: Final answer
    x = 439.98

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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.