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Finding the Fourth Proportional to 390.63, 582.95 and 357.53

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Solution

The fourth proportional to 390.63, 582.95 and 357.53 is: 533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.63 : 582.95 = 357.53 : x
  2. Step 2: Convert to fraction form
    390.63/582.95 = 357.53/x
  3. Step 3: Cross multiply
    390.63x = 582.95 × 357.53
  4. Step 4: Simplify right side
    390.63x = 208,420.09
  5. Step 5: Solve for x
    x = 208,420.09/390.63
  6. Step 6: Final answer
    x = 533.54

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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.