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Finding the Fourth Proportional to 364.94, 545.04 and 316.34

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Solution

The fourth proportional to 364.94, 545.04 and 316.34 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.94 : 545.04 = 316.34 : x
  2. Step 2: Convert to fraction form
    364.94/545.04 = 316.34/x
  3. Step 3: Cross multiply
    364.94x = 545.04 × 316.34
  4. Step 4: Simplify right side
    364.94x = 172,417.95
  5. Step 5: Solve for x
    x = 172,417.95/364.94
  6. Step 6: Final answer
    x = 472.46

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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.