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Finding the Fourth Proportional to 469.51, 648.02 and 283.10

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Solution

The fourth proportional to 469.51, 648.02 and 283.10 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.51 : 648.02 = 283.10 : x
  2. Step 2: Convert to fraction form
    469.51/648.02 = 283.10/x
  3. Step 3: Cross multiply
    469.51x = 648.02 × 283.10
  4. Step 4: Simplify right side
    469.51x = 183,454.46
  5. Step 5: Solve for x
    x = 183,454.46/469.51
  6. Step 6: Final answer
    x = 390.74

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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.