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Finding the Fourth Proportional to 314.88, 474.54 and 302.46

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Solution

The fourth proportional to 314.88, 474.54 and 302.46 is: 455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 474.54 = 302.46 : x
  2. Step 2: Convert to fraction form
    314.88/474.54 = 302.46/x
  3. Step 3: Cross multiply
    314.88x = 474.54 × 302.46
  4. Step 4: Simplify right side
    314.88x = 143,529.37
  5. Step 5: Solve for x
    x = 143,529.37/314.88
  6. Step 6: Final answer
    x = 455.82

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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.