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Finding the Fourth Proportional to 390.16, 583.80 and 287.52

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Solution

The fourth proportional to 390.16, 583.80 and 287.52 is: 430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.16 : 583.80 = 287.52 : x
  2. Step 2: Convert to fraction form
    390.16/583.80 = 287.52/x
  3. Step 3: Cross multiply
    390.16x = 583.80 × 287.52
  4. Step 4: Simplify right side
    390.16x = 167,854.18
  5. Step 5: Solve for x
    x = 167,854.18/390.16
  6. Step 6: Final answer
    x = 430.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.